James needed to prove that he could be the primary reason why his team won an NBA title heading into the 2011-12 campaign. By season's end, he did specifically that.
LeBron finished with averages of 27.1 points, 7.9 rebounds and 6.8 assists on his way to winning his third regular-season MVP last year. He then improved those numbers to 30.3 points and 9.7 rebounds during the playoffs. He was named Finals MVP in the process.
James now enters this season after turning in one of the best wire-to-wire performances in NBA history. Nobody is reasonably expecting LeBron to do all that again.
His only requirement for the 2012-13 season is to win that second championship. He's expected to play at an All-Star level to be sure, but accomplishing anything more from an individual standpoint would be exceeding expectations.